Two times the total surface area of a solid right circular cylinder is three times its curved surface area. If h is the height and r is the radius of the base of the cylinder, then which one of the following is correct?
- A. h=r
- B. h=2r ✓
- C. 2h=3r
- D. 3h=4r
Correct Answer: B. h=2r
Explanation
Given 2 \times \text{TSA} = 3 \times \text{CSA}. Substituting the formulas: 2(2\pi r(r+h)) = 3(2\pi rh). Dividing both sides by 4\pi r gives r+h = 1.5h \implies r = 0.5h \implies h = 2r.
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